**CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY, BHILAI (CG)**

**Semester : B.E. IV Semester Branch : Mechanical Engineering**

**Sub : MECHANICS OF SOLIDS – II**

UNIT-I

Energy Methods

Introduction, principles of superposition, strain energy, reciprocal relations, Maxwell Betti

theorem, elastic strain energy relation in tension and compression, strain energy in beams

subjected to bending and shaft to torsion. impact loading in tension and bending, first theorem of

Castigliano and its applications

UNIT- II

Fixed Beams

Fixed beam subjected to different types of loads and couples, calculations of fixing moments and

reactions at supports, deflection, effect of sinking of support.

Continuous beams

Continuous beams subjected to different type of loads and couples, beams with overhang, beams

with one end fixed, Clapeyron’s theorem, effect of sinking of supports

UNIT-III

Bending of curved bars

Bending of curved bars in plane of loading, Winkler Bech theory, crane hooks, chain links,

bending of curved beams built in its initial plane, bending of circular bars subjected to symmetric

loading, bending of circular rings, stresses in circular rings

UNIT-IV

Unsymmetrical Bending

Introduction to unsymmetrical bending, stresses due to unsymmetrical bending, deflection of

beam due to unsymmetrical bending, shear center for angle, channel, and I-sections

Columns

Short Column (Strut), Eccentric loading on Strut, Stability of columns, Euler’s formula for different

end conditions, equivalent load, eccentric loading, Rankine’s formula.

UNIT – V

Pressure Vessels

Thin Pressure Vessels circumferential and longitudinal stresses in thin cylindrical shells and thin

spherical shell under internal pressure,

Stresses in thick and compound cylinders.

TEXT BOOKS

1. Strength of Material – Dr. Sadhu Singh – Khanna Publishers

2. Elements of Strength of Material – Timo Shenko & Young – EWP Press

3. Strength of Material – R.K. Rajput – Dhanpat Rai & Sons

REFERENCE BOOKS

1. Strength of Material – Rider – ELBS

2. Mechanics of Material – F.P. Bear & E.E. Johnston – McGraw Hill

3. Mechanics of Material – J.M. Gera & Time Shenko – CBS Publishers

4. Introduction to Solid Mechanics – I. H. Shames – PHI

5. Engineering Mechanics of Solids – E.P. Popov – PHI

6. Strength of Material – Shaums Outline Series – McGraw Hill